Polar area between two equations

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SUMMARY

The discussion focuses on calculating the area shared by the polar curves 2cos(θ) and 2sin(θ) using the formula 0.5 ∫((2cos(θ) - 2sin(θ))^2)dθ. The key limit of integration identified is π/4, which corresponds to the intersection point of the curves not at the origin. The solution clarifies the method for determining the correct limits of integration for polar areas.

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[SOLVED] Polar area between two equations

Homework Statement



Using polar coordinates, find the area of the region shared by both curves [2cos(theta) and 2sin(theta)]


Homework Equations


.5integral((2cos(theta) - 2sin(theta))^2)dtheta)


The Attempt at a Solution



Ok. So I know what equation I have to use. I also know that one of the limits of integration will be pi/4 (the point that's not on the origin). However, I don't know what theta value represents the point on the origin. I may be doing this all wrong. Any help is appreciated.
 
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